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Initial velocity and height of cliff question.?
A grasshopper leaps into the air from the edge of a vertical cliff. Its maximum height is 6.74cm and its angle of launch is 50 degrees. It lands 1.06 meters away. What is the initial speed of the grasshopper and what is the height of the cliff?
1 Answer
- Masked_Rider1101Lv 78 years agoFavorite Answer
as g=9.8m/s^2
v=√(2gh) =
vsin(50)= √(2*9.8*0.0674)= 1.149365 m/s
v= 1.149365/sin(50)= 1.500[m/s] (initial velocity)
t=d/v = 1.06/1.5cos(50)= 1.09938s (Flight Duration)
h=h0 v0t 1/2gt^2
0= h0 1.5sin(50)*1.09938 1/2(-9.8)*1.09938^2
h0= 4.659[m] approx.
